curl --request POST \
--url https://api.fincept.in/quantlib/physics/thermodynamics/free-energy \
--header 'Content-Type: application/json' \
--header 'X-API-Key: <api-key>' \
--data '
{
"internal_energy": 1000,
"temperature": 300,
"entropy": 2.5,
"type": "helmholtz"
}
'{
"success": true,
"data": {
"gibbs_free_energy": 2520.68,
"helmholtz_free_energy": 250,
"enthalpy": 3270.68
}
}{
"detail": "Invalid API key"
}{
"detail": "Insufficient credits. This endpoint requires 5 credits."
}{
"detail": [
{
"loc": [
"<string>"
],
"msg": "<string>",
"type": "<string>"
}
]
}quantlib-physics
Calculate Thermodynamic Free Energy
Calculates various forms of thermodynamic free energy: Gibbs free energy (G), Helmholtz free energy (F), or enthalpy (H). Free energy represents the maximum useful work extractable from a system and is fundamental in thermodynamics. In finance, free energy concepts apply to portfolio efficiency, market stability, and equilibrium analysis.
Use Cases:
- Assess portfolio efficiency (maximum utility extraction)
- Market equilibrium and stability analysis
- Energy-based risk models
- Thermodynamic analogies in market microstructure
- Path-dependent work extraction in trading
Formulas:
- Gibbs: G = U + PV - TS (constant T,P)
- Helmholtz: F = U - TS (constant T,V)
- Enthalpy: H = U + PV
Credits: 5 credits per request (Pro Tier) [Tier: ENTERPRISE, Credits: 10]
POST
/
quantlib
/
physics
/
thermodynamics
/
free-energy
curl --request POST \
--url https://api.fincept.in/quantlib/physics/thermodynamics/free-energy \
--header 'Content-Type: application/json' \
--header 'X-API-Key: <api-key>' \
--data '
{
"internal_energy": 1000,
"temperature": 300,
"entropy": 2.5,
"type": "helmholtz"
}
'{
"success": true,
"data": {
"gibbs_free_energy": 2520.68,
"helmholtz_free_energy": 250,
"enthalpy": 3270.68
}
}{
"detail": "Invalid API key"
}{
"detail": "Insufficient credits. This endpoint requires 5 credits."
}{
"detail": [
{
"loc": [
"<string>"
],
"msg": "<string>",
"type": "<string>"
}
]
}Authorizations
API key for authentication. Get your key at https://api.fincept.in/auth/register
Body
application/json
Internal energy U
Example:
1000
Temperature T
Example:
300
Entropy S
Example:
2.5
Pressure P (required for Gibbs and enthalpy)
Example:
101325
Volume V (required for Gibbs and enthalpy)
Example:
0.0224
Type of free energy to calculate
Available options:
gibbs, helmholtz, enthalpy Example:
"helmholtz"
⌘I